What are the eight ways of thinking in mathematics? The first way is to change thinking.
Transformational thinking refers to turning the problem into a similar or equivalent problem from different angles and on the basis of analyzing and understanding the meaning of the problem when encountering obstacles in the process of solving the problem, and seeking the best method to make the problem simpler and clearer.
The second logical thinking
To cultivate logical thinking, children need to develop good habit of answering questions: not jumping, not omitting and using standardized mathematical language.
The third kind of universal thinking
For some general mathematical problems, if they are difficult to solve at the moment, students often think of solving them through special circumstances.
The fourth kind of corresponding thinking
Corresponding thinking is a way of thinking that establishes a direct connection between quantitative relations (including quantity difference, quantity times and quantity rate). General correspondence (such as the sum and difference times of two or more quantities) and ratio correspondence are more common.
The fifth hypothetical thinking
The sixth kind of analogy thinking
Analogical thinking refers to the thinking method of comparing unfamiliar and unfamiliar problems with familiar problems or other things according to some similar properties between things, discovering the essence of knowledge, finding its essence, and thus solving problems.
The seventh kind of innovative thinking
Innovative thinking refers to the thinking process of solving problems with novel and original methods. Through this kind of thinking, we can break through the boundaries of conventional thinking, think about problems with unconventional or even unconventional methods and perspectives, and come up with unique solutions. It can be divided into four types: difference type, exploration type, optimization type and negative type.
The eighth systematic thinking
Systematic thinking is also called holistic thinking. Systematic thinking refers to having a systematic understanding of the knowledge points involved in a specific topic when solving a problem, that is, analyzing and judging what the knowledge points belong to when getting the topic, and then recalling what types of such questions are divided into and the corresponding solutions.
How to Cultivate Mathematical Thinking Logic 1 and Thinking Flexibility
The flexibility of thinking refers to the timeliness of being able to adapt to the changes of things without being too affected by the mindset. If we lack the flexibility of thinking, our thinking will be more inclined to a specific way and method, and it is easy to go into a dead end and unilaterally pursue the mode and procedure of solving problems, which will lead to the inertia of thinking in the long run.
2. Cultivate the rigor of mathematical thinking.
The rigor of thinking refers to the rigor and justification of considering problems. To improve the rigor of students' thinking, we must be strict and strengthen training.
Implementing it in children's study life means starting with the basic ideas when learning new knowledge, steadily and steadily under the premise of clear ideas, developing the habit of serious thinking in this relatively slow process, and mastering enough reasons as the basis when reasoning; When practicing test questions, we should be good at paying attention to the hidden conditions in the stem, answering questions in detail, and writing out the ideas for solving problems without stint.